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Title: Assessing Adaptive Mesh Refinement (AMR) in a Forced Shallow-Water Model with Moisture

Journal Article · · Monthly Weather Review
 [1];  [1];  [2]
  1. Univ. of Michigan, Ann Arbor, MI (United States)
  2. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

Two forced shallow-water flow scenarios are explored in a 2D fourth-order finite-volume dynamical core with adaptive mesh refinement (AMR) to investigate AMR’s ability to track and resolve complex evolving features. Traditional shallow-water test cases are mainly characterized by large-scale smooth flows that do not effectively test the multiscale abilities of variable-resolution and AMR models to resolve sharp gradients and small-scale flow filaments. Therefore, adding forcing mechanisms to the shallow-water system to model key atmospheric processes adds complexity and creates small-scale phenomena. These can serve as foci for dynamic grid refinement while remaining simple enough to study the numerical design of a model’s dynamical core. The first shallow-water flow scenario represents a strengthening, tropical cyclone–like, vortex that is driven by a Betts–Miller-like convection scheme. The second shallow-water test is built upon a barotropically unstable jet with an added Kessler-like warm rain scheme that leads to precipitating frontal zones. The key feature of both tests is that there is significant sensitivity to the model grid while converging (structurally) at high resolution. Both test cases are investigated for a series of uniform resolutions and a variety of AMR tagging criteria. The AMR simulations demonstrate that grid refinement can resolve local features without requiring global high-resolution meshes. However, the results are sensitive to the refinement criteria. Criteria that trigger refinement early in a simulation reproduce the uniform-resolution reference solutions most reliably. Finally, in contrast, AMR criteria that delay refinement for several days require careful tuning of the AMR thresholds to improve results compared with uniform-resolution simulations.

Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC); National Science Foundation (NSF)
Grant/Contract Number:
AC02-05CH11231; SC0003990
OSTI ID:
1574339
Journal Information:
Monthly Weather Review, Vol. 147, Issue 10; ISSN 0027-0644
Publisher:
American Meteorological SocietyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 4 works
Citation information provided by
Web of Science

References (29)

Effect of Shunting of Collateral Flow into the Venous System on Arteriogenesis and Angiogenesis in Rabbit Hind Limb journal January 2013
Conservative Finite-Difference Approximations of the Primitive Equations on Quasi-Uniform Spherical Grids journal February 1972
Conservation laws for primitive equations models with inhomogeneous layers journal June 1993
A simple dynamical model of cumulus convection for data assimilation research [A simple dynamical model of cumulus convection for data assimilation research] journal December 2014
A Comparison of Two Shallow-Water Models with Nonconforming Adaptive Grids journal June 2008
An initial-value problem for testing numerical models of the global shallow-water equations journal January 2004
Fronts and nonlinear waves in a simplified shallow-water model of the atmosphere with moisture and convection journal November 2009
Analyzing the Adaptive Mesh Refinement (AMR) Characteristics of a High-Order 2D Cubed-Sphere Shallow-Water Model journal December 2016
Tropical Cyclogenesis via Convectively Forced Vortex Rossby Waves in a Shallow Water Primitive Equation Model journal April 2001
Dynamical Aspects of Twin Tropical Cyclones Associated with the Madden–Julian Oscillation journal April 1996
Large Scale Dynamics of Precipitation Fronts in the Tropical Atmosphere: A Novel Relaxation Limit journal January 2004
Studies of moisture effects in simple atmospheric models: The stable case journal February 1982
Modification ofn= 0 Equatorial Waves Due to Interaction between Convection and Dynamics journal October 1991
Hurricane Eyewall Evolution in a Forced Shallow-Water Model journal April 2014
On the Distribution and Continuity of Water Substance in Atmospheric Circulations book January 1969
Understanding Instabilities of Tropical Cyclones and Their Evolution with a Moist Convective Rotating Shallow-Water Model journal January 2016
Moist versus Dry Barotropic Instability in a Shallow-Water Model of the Atmosphere with Moist Convection journal June 2011
An adaptive multiblock high-order finite-volume method for solving the shallow-water equations on the sphere journal January 2015
An Analytic Vortex Initialization Technique for Idealized Tropical Cyclone Studies in AGCMs journal February 2011
Idealized tropical cyclone simulations of intermediate complexity: A test case for AGCMs journal February 2012
On improving a one-layer ocean model with thermodynamics journal November 1995
Influence of condensation and latent heat release upon barotropic and baroclinic instabilities of vortices in a rotating shallow water f-plane model journal January 2017
A test case for the inviscid shallow-water equations on the sphere: Inviscid Shallow-Water Equations on the Sphere journal November 2015
The Structure of Precipitation Fronts for Finite Relaxation Time journal June 2006
High-order finite-volume methods for the shallow-water equations on the sphere journal August 2010
Voronoi, Delaunay, and Block-Structured Mesh Refinement for Solution of the Shallow-Water Equations on the Sphere journal December 2009
A standard test set for numerical approximations to the shallow water equations in spherical geometry journal September 1992
Triggered Convection, Gravity Waves, and the MJO: A Shallow-Water Model journal August 2013
A moist Boussinesq shallow water equations set for testing atmospheric models journal June 2015